Search a number
-
+
1118064384 = 28371997
BaseRepresentation
bin100001010100100…
…0100111100000000
32212220211120000000
41002221010330000
54242211030014
6302540000000
736464250633
oct10251047400
92786746000
101118064384
11524133358
12272530000
1314a837078
14a86c1c1a
1568253509
hex42a44f00

1118064384 has 144 divisors (see below), whose sum is σ = 3348807840. Its totient is φ = 372501504.

The previous prime is 1118064379. The next prime is 1118064419. The reversal of 1118064384 is 4834608111.

It is a happy number.

1118064384 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 0 + 643 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558874 + ... + 560870.

It is an arithmetic number, because the mean of its divisors is an integer number (23255610).

Almost surely, 21118064384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1118064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674403920).

1118064384 is an abundant number, since it is smaller than the sum of its proper divisors (2230743456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1118064384 is an frugal number, since it uses more digits than its factorization.

1118064384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1118064384 is about 33437.4697607340. The cubic root of 1118064384 is about 1037.9002209545.

The spelling of 1118064384 in words is "one billion, one hundred eighteen million, sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 1997 2187 2304 2592 2916 3456 3888 3994 4374 5184 5832 5991 6912 7776 7988 8748 10368 11664 11982 15552 15976 17496 17973 20736 23328 23964 31104 31952 34992 35946 46656 47928 53919 62208 63904 69984 71892 93312 95856 107838 127808 139968 143784 161757 186624 191712 215676 255616 279936 287568 323514 383424 431352 485271 511232 559872 575136 647028 766848 862704 970542 1150272 1294056 1455813 1533696 1725408 1941084 2300544 2588112 2911626 3450816 3882168 4367439 4601088 5176224 5823252 6901632 7764336 8734878 10352448 11646504 13803264 15528672 17469756 20704896 23293008 31057344 34939512 41409792 46586016 62114688 69879024 93172032 124229376 139758048 186344064 279516096 372688128 559032192 1118064384